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Finding the Fourth Proportional to 118.88, 178.32 and 110.78

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Solution

The fourth proportional to 118.88, 178.32 and 110.78 is: 166.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.88 : 178.32 = 110.78 : x
  2. Step 2: Convert to fraction form
    118.88/178.32 = 110.78/x
  3. Step 3: Cross multiply
    118.88x = 178.32 × 110.78
  4. Step 4: Simplify right side
    118.88x = 19,754.29
  5. Step 5: Solve for x
    x = 19,754.29/118.88
  6. Step 6: Final answer
    x = 166.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.